24740 + Interview Questions in Mathematics Page 127 InterviewSolution

6301.	In the given triangle right angled at B, which pair of angles are complementary?
Answer» In the given triangle right angled at B, which pair of angles are complementary?

6301.

In the given triangle right angled at B, which pair of angles are complementary?

Answer»

In the given triangle right angled at B, which pair of angles are complementary?

6302.	Factorise125x3-27y3-225x2y+135xy2
Answer» Factorise $125 x^{3} - 27 y^{3} - 225 x^{2} y + 135 x y^{2}$

Discussion

6303.	To complete the frequency polygon plot we assume a class interval with frequency zero and then ________ .
Answer» To complete the frequency polygon plot we assume a class interval with frequency zero and then ________ .

Discussion

6304.	115. The length of the projection of the line segment joining the points(5,-1,4)&(4,-1,3) on the plane,x+y+z=7is?
Answer» 115. The length of the projection of the line segment joining the points(5,-1,4)&(4,-1,3) on the plane,x+y+z=7is?

Discussion

6305.	Question 4 (i)In the given figure, P is a point in the interior of a parallelogram ABCD. Show that(i)ar(APB)+ar(PCD)=12ar(ABCD)
Answer» Question 4 (i) In the given figure, P is a point in the interior of a parallelogram ABCD. Show that $(i) a r (A P B) + a r (P C D) = \frac{1}{2} a r (A B C D)$

Discussion

6306.	______ satisfies the equation 3x+4y=2.
Answer» ______ satisfies the equation $3 x + 4 y = 2$ .

Discussion

6307.	ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]
Answer» ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]

Discussion

6308.	Three angles of a quadrilateral are 60o, 110o and 86o, the fourth angle of the quadrilateral is:
Answer» Three angles of a quadrilateral are 60^o, 110^o and 86^o, the fourth angle of the quadrilateral is:

Discussion

6309.	47. The volume of a cuboid is 36 cm sq. and it's base area is 18 cm sq. What is it's height
Answer» 47. The volume of a cuboid is 36 cm sq. and it's base area is 18 cm sq. What is it's height

Discussion

6310.	A small terrace at a football ground comprises 15 steps each of which is 50 m long and built of solid concrete.Each step has a rise of 4/1m and a tread of 2/1m. Calculate the total volume of concrete required to build the terrace.[Hint : Volume of concrete required to bulid the first step =14×12×50m3]
Answer» A small terrace at a football ground comprises $15$ steps each of which is $50 m$ long and built of solid concrete. Each step has a rise of $4 / 1 m$ and a tread of $2 / 1 m .$ Calculate the total volume of concrete required to build the terrace. [Hint : Volume of concrete required to bulid the first step $= \frac{1}{4} \times \frac{1}{2} \times 50 m^{3}$ ]

Discussion

6311.	If ABCD is a rhombus, then which of the following is true?
Answer» If ABCD is a rhombus, then which of the following is true?

Discussion

6312.	31. The length of two chords of a circle are 6cm and 12cm which lies at the same side of the centre and the distance between them is 3 cm, the find radius?
Answer» 31. The length of two chords of a circle are 6cm and 12cm which lies at the same side of the centre and the distance between them is 3 cm, the find radius?

Discussion

6313.	Question 7Draw a ΔABC in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to ΔABC with scale factor 32. Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal.Thinking processTriangles are congruent when all corresponding sides and interior angles are congruent The triangles will have the same shape and size, but one may be a mirror image of the other.So, first, we construct a triangle similar to ΔABC with scale factor 32 and use the above concept to check the triangles are congruent or not.
Answer» Question 7 Draw a $Δ A B C$ in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ . Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal. Thinking process Triangles are congruent when all corresponding sides and interior angles are congruent The triangles will have the same shape and size, but one may be a mirror image of the other. So, first, we construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ and use the above concept to check the triangles are congruent or not.

6313.

Question 7Draw a ΔABC in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to ΔABC with scale factor 32. Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal.Thinking processTriangles are congruent when all corresponding sides and interior angles are congruent The triangles will have the same shape and size, but one may be a mirror image of the other.So, first, we construct a triangle similar to ΔABC with scale factor 32 and use the above concept to check the triangles are congruent or not.

Answer»

Question 7

Draw a $Δ A B C$ in which AB= 4 cm, BC = 6 cm and AC = 9 cm, construct a triangle similar to $Δ A B C$ with scale factor $\frac{3}{2}$ . Justify the construction. Are the two triangles congruent? Note that, all the three angles and two sides of the two triangles are equal.

Thinking process

Triangles are congruent when all corresponding sides and interior angles are congruent The triangles will have the same shape and size, but one may be a mirror image of the other.

So, first, we construct a triangle similar to

Δ A B C

with scale factor

\frac{3}{2}

and use the above concept to check the triangles are congruent or not.

Discussion

6314.	In △ ABC, it is given that D is the midpoint of BC; E is the midpoint of BD and O is the midpoint of AE. Then, ar(△ BOE)=?
Answer» In $△ A B C$ , it is given that D is the midpoint of BC; E is the midpoint of BD and O is the midpoint of AE. Then, ar( $△ B O E$ )=?

Discussion

6315.	Jenna takes a sheet of paper and divides it into four equal parts. She then draws a pattern on three parts but is interrupted by her friends. Jake, Jenna's brother, thinks of completing the last part.Find which pattern will complete the last part.
Answer» Jenna takes a sheet of paper and divides it into four equal parts. She then draws a pattern on three parts but is interrupted by her friends. Jake, Jenna's brother, thinks of completing the last part. Find which pattern will complete the last part.

Discussion

6316.	Find the mean proportional between 0.06 and 0.96.
Answer» Find the mean proportional between 0.06 and 0.96.

Discussion

6317.	Question 2The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of whitewashing the walls of the room and ceiling at the rate of Rs 7.50 per m2.
Answer» Question 2 The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of whitewashing the walls of the room and ceiling at the rate of $R s 7.50 p e r m^{2}$ .

Discussion

6318.	If the given figure, ∠AOF and ∠FOG form a linear pair.∠EOB = ∠FOC = 90° and ∠DOC = ∠FOG = ∠AOB = 30°(i) Find the measure of ∠FOE, ∠COB and ∠DOE.(ii) Name all the right angles.(iii) Name three pairs of adjacent complementary angles.(iv) Name three pairs of adjacent supplementary angles.(v) Name three pairs of adjacent angles.
Answer» If the given figure, ∠AOF and ∠FOG form a linear pair. ∠EOB = ∠FOC = 90° and ∠DOC = ∠FOG = ∠AOB = 30° (i) Find the measure of ∠FOE, ∠COB and ∠DOE. (ii) Name all the right angles. (iii) Name three pairs of adjacent complementary angles. (iv) Name three pairs of adjacent supplementary angles. (v) Name three pairs of adjacent angles.

Discussion

6319.	If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar(EFGH)=12ar(ABCD)
Answer» If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that $a r (E F G H) = \frac{1}{2} a r (A B C D)$

Discussion

6320.	Question 2The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation.X6−6Y−26Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation.(i) Cuts the x-axis?(ii) Cuts the y-axis?
Answer» Question 2 The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation. $\begin{matrix} X & 6 & - 6 Y & - 2 & 6 \end{matrix}$ Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation. (i) Cuts the x-axis? (ii) Cuts the y-axis?

Discussion

6321.	If logx y=100 and log2 x=10, then the value of y is _____.
Answer» If $l o g_{x} y = 100$ and $l o g_{2} x = 10$ , then the value of y is _____.

Discussion

6322.	The volume of a cubical container with total surface area 150 sq. cm. is ___ .
Answer» The volume of a cubical container with total surface area 150 sq. cm. is ___ .

Discussion

6323.	In the given circle with diameter AB, find the value of x in degree. ___
Answer» In the given circle with diameter AB, find the value of x in degree. ___

6323.

In the given circle with diameter AB, find the value of x in degree. ___

Answer»

In the given circle with diameter AB, find the value of x in degree.

___

Discussion

6324.	Ria decided to bake a cake. For this, she used 35 kg flour, 16 kg of butter, 13 kg of sugar, and 29 kg of milk. What will be the total weight of cake?
Answer» Ria decided to bake a cake. For this, she used $\frac{3}{5} kg$ flour, $\frac{1}{6} kg$ of butter, $\frac{1}{3} kg$ of sugar, and $\frac{2}{9} kg$ of milk. What will be the total weight of cake?

Discussion

6325.	In a cricket match, a batsman hits a boundary 5 times every 30 balls he plays. Find the probability that he did not hit a boundary.
Answer» In a cricket match, a batsman hits a boundary 5 times every 30 balls he plays. Find the probability that he did not hit a boundary.

Discussion

6326.	53 . Find value of x :- (5x)/6 - (x-4)/8 =9/4 - 1/2 ((x)/2 - (x-1)/3)
Answer» 53 . Find value of x :- (5x)/6 - (x-4)/8 =9/4 - 1/2 ((x)/2 - (x-1)/3)

Discussion

6327.	The ___ of a class interval is called its class mark.
Answer» The ___ of a class interval is called its class mark.

Discussion

6328.	In fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.
Answer» In fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.

6328.

In fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.

Answer»

In fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.

Discussion

6329.	An overhead water tanker is in the shape of cylinder has the capacity of 616 litres. The diameter of the tank is 5.6 m. find the height of the tank.
Answer» An overhead water tanker is in the shape of cylinder has the capacity of $616$ litres. The diameter of the tank is $5.6 m .$ find the height of the tank.

Discussion

6330.

Prepare Income and Expenditure Account for the year ended 31st March, 2019 from the following: RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2019 Dr. Cr. Receipts ₹ Payments ₹ To Balanceb/d (cash) 1,80,000 By Salaries 4,80,000 To Subscriptions 9,00,000 By Rent 50,000 To Sale of Investments 2,00,000 By Stationery 20,000 To Sale of Old Furniture (Book Value ₹ 40,000) 30,000 By Defence Bonds 3,00,000 To Donations 10,000 By Furniture 2,00,000 By Bicycles 30,000 By Balance c/d (Cash) 2,40,000 13,20,000 13,20,000

Answer» Prepare Income and Expenditure Account for the year ended 31st March, 2019 from the following:

RECEIPTS AND PAYMENTS ACCOUNT for the year ended 31st March, 2019
Dr.				Cr.
Receipts	₹	Payments	₹
To Balanceb/d (cash)	1,80,000	By Salaries	4,80,000
To Subscriptions	9,00,000	By Rent	50,000
To Sale of Investments	2,00,000	By Stationery	20,000
To Sale of Old Furniture (Book Value ₹ 40,000)	30,000	By Defence Bonds	3,00,000
To Donations	10,000	By Furniture	2,00,000
		By Bicycles	30,000
		By Balance c/d (Cash)	2,40,000

	13,20,000		13,20,000

Discussion

6331.	In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x+y= (a) 45∘(b) 60∘(c) 75∘(d) 90∘
Answer» In the given figure, if chords AB and CD of the circle intersect each other at right angles, then $x + y =$ (a) $45^{\circ}$ (b) $60^{\circ}$ (c) $75^{\circ}$ (d) $90^{\circ}$

6331.

In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x+y= (a) 45∘(b) 60∘(c) 75∘(d) 90∘

Answer»

In the given figure, if chords AB and CD of the circle intersect each other at right angles, then $x + y =$

(a) $45^{\circ}$

(b) $60^{\circ}$

(c) $75^{\circ}$

(d) $90^{\circ}$

Discussion

6332.	What is the proof of Pythagoras theorem
Answer» What is the proof of Pythagoras theorem

Discussion

6333.	The points (other than origin) for which abscissa is equal to the ordinate will lie in the quadrant(a) I only(b) I or II(c) I or III(d) II or IV
Answer» The points (other than origin) for which abscissa is equal to the ordinate will lie in the quadrant (a) I only (b) I or II (c) I or III (d) II or IV

Discussion

6334.	If the polynomial x4−6x3+16x2−25x+10 is divided by another polynomial x2−2x+k, the remainder comes out to be x+a, find k and a.
Answer» If the polynomial $x^{4} - 6 x^{3} + 16 x^{2} - 25 x + 10$ is divided by another polynomial $x^{2} - 2 x + k,$ the remainder comes out to be $x + a$ , find k and a.

Discussion

6335.	Determine which of the following polynomials has (x + 1) a factor:(i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1(iii) x4 + 3x3 + 3x2 + x + 1 (iv)
Answer» Determine which of the following polynomials has (x + 1) a factor: (i) x³ + x² + x + 1 (ii) x⁴ + x³ + x² + x + 1 (iii) x⁴ + 3x³ + 3x² + x + 1 (iv)

6335.

Determine which of the following polynomials has (x + 1) a factor:(i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1(iii) x4 + 3x3 + 3x2 + x + 1 (iv)

Answer»

Determine which of the following polynomials has (x + 1) a factor:

(i) x³ + x² + x + 1 (ii) x⁴ + x³ + x² + x + 1

(iii) x⁴ + 3x³ + 3x² + x + 1 (iv)

Discussion

6336.	Mark the correct alternative in the following question:Two complementary angles differ by 20°. The smaller angle is(a) 55° (b) 25° (c) 65° (d) 35°
Answer» Mark the correct alternative in the following question: Two complementary angles differ by 20°. The smaller angle is (a) 55° (b) 25° (c) 65° (d) 35°

Discussion

6337.	Question 128Solve the following question:A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.
Answer» Question 128 Solve the following question: A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.

6337.

Question 128Solve the following question:A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.

Answer»

Question 128

Solve the following question:

A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.

Discussion

6338.	A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and hands to talk to each other. Find the length of the string of each phone.
Answer» A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and hands to talk to each other. Find the length of the string of each phone.

Discussion

6339.	y3 − 2y2 − 29y − 42
Answer» y³ − 2y² − 29y − 42

Discussion

6340.	In △ ABC, sin(A+B2)= .
Answer» In $△ A B C$ , $s i n (\frac{A + B}{2}) =$ .

Discussion

6341.	The figure gives the lengths of a tree and its shadow (in feet). Using the information given in the figure, find the value of θ. (Hint : Use Tan θ)
Answer» The figure gives the lengths of a tree and its shadow (in feet). Using the information given in the figure, find the value of $θ$ . (Hint : Use Tan $θ$ )

Discussion

6342.	If f(t)=4t2−3t+6 find (i) f(0), (ii) f(4), (iii) f(-5)
Answer» If $f (t) = 4 t^{2} - 3 t + 6$ find (i) f(0), (ii) f(4), (iii) f(-5)

Discussion

6343.	In the following figure, if ED = 10 cm, BG = 8 cm and BE = CD = 9 cm, then find the area of triangle CDF.
Answer» In the following figure, if ED = 10 cm, BG = 8 cm and BE = CD = 9 cm, then find the area of triangle CDF.

6343.

In the following figure, if ED = 10 cm, BG = 8 cm and BE = CD = 9 cm, then find the area of triangle CDF.

Answer»

In the following figure, if ED = 10 cm, BG = 8 cm and BE = CD = 9 cm, then find the area of triangle CDF.

Discussion

6344.	LSA of cube having side 3 cm is
Answer» LSA of cube having side 3 cm is

Discussion

6345.	In Fig. ABC is a right angled triangle in which ∠A=90∘, AB = 21 cm and AC = 28 cm. Semi - circles are described on AB, BC and AC as diameters. Find the area if the shaded region.
Answer» In Fig. ABC is a right angled triangle in which $∠ A = 90^{\circ}$ , AB = 21 cm and AC = 28 cm. Semi - circles are described on AB, BC and AC as diameters. Find the area if the shaded region.

6345.

In Fig. ABC is a right angled triangle in which ∠A=90∘, AB = 21 cm and AC = 28 cm. Semi - circles are described on AB, BC and AC as diameters. Find the area if the shaded region.

Answer»

In Fig. ABC is a right angled triangle in which $∠ A = 90^{\circ}$ , AB = 21 cm and AC = 28 cm. Semi - circles are described on AB, BC and AC as diameters. Find the area if the shaded region.

Discussion

6346.	O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A
Answer» O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A

Discussion

6347.	Insert commas suitably and write the names according to Indian System of Numeration:87595762
Answer» Insert commas suitably and write the names according to Indian System of Numeration: 87595762

Discussion

6348.	if the line segment lx+my=n^2 intercepted bythe curve y^2=ax substends a right angle at the origin then___1'a,n,l arein gp 2'l,m,n are in gp 3' l,m,n^2 are in gp .choose correct optio
Answer» if the line segment lx+my=n^2 intercepted bythe curve y^2=ax substends a right angle at the origin then___1'a,n,l arein gp 2'l,m,n are in gp 3' l,m,n^2 are in gp .choose correct optio

Discussion

6349.	In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.
Answer» In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

Discussion

6350.	A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies ? How many of them follow the hobby of rock climbing only ? How many students follow the hobby of sky watching only ?
Answer» A survey was conducted to know the hobby of 220 students of class IX. Out of which 130 students informed about their hobby as rock climbing and 180 students informed about their hobby as sky watching. There are 110 students who follow both the hobbies. Then how many students do not have any of the two hobbies ? How many of them follow the hobby of rock climbing only ? How many students follow the hobby of sky watching only ?

Discussion

Explore topic-wise InterviewSolutions in .

In the given triangle right angled at B, which pair of angles are complementary?

Factorise125x3-27y3-225x2y+135xy2

To complete the frequency polygon plot we assume a class interval with frequency zero and then ________ .

115. The length of the projection of the line segment joining the points(5,-1,4)&(4,-1,3) on the plane,x+y+z=7is?

Question 4 (i)In the given figure, P is a point in the interior of a parallelogram ABCD. Show that(i)ar(APB)+ar(PCD)=12ar(ABCD)

______ satisfies the equation 3x+4y=2.

ABCD is a rectangle with diagonals AD and BC intersecting at point O. If the length of AO is 6 units, find the length of CB. [3 MARKS]

Three angles of a quadrilateral are 60o, 110o and 86o, the fourth angle of the quadrilateral is:

47. The volume of a cuboid is 36 cm sq. and it's base area is 18 cm sq. What is it's height

If ABCD is a rhombus, then which of the following is true?

31. The length of two chords of a circle are 6cm and 12cm which lies at the same side of the centre and the distance between them is 3 cm, the find radius?

In △ ABC, it is given that D is the midpoint of BC; E is the midpoint of BD and O is the midpoint of AE. Then, ar(△ BOE)=?

Jenna takes a sheet of paper and divides it into four equal parts. She then draws a pattern on three parts but is interrupted by her friends. Jake, Jenna's brother, thinks of completing the last part.Find which pattern will complete the last part.

Find the mean proportional between 0.06 and 0.96.

Question 2The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of whitewashing the walls of the room and ceiling at the rate of Rs 7.50 per m2.

If E, F, G and H are respectively the mid-points of the sides of a parallelogram ABCD show that ar(EFGH)=12ar(ABCD)

Question 2The following observed values of x and y are thought to satisfy a linear equation. Write the linear equation.X6−6Y−26Draw the graph using the values of x, y as given in the above table. At what points the graph of the linear equation.(i) Cuts the x-axis?(ii) Cuts the y-axis?

If logx y=100 and log2 x=10, then the value of y is _____.

The volume of a cubical container with total surface area 150 sq. cm. is ___ .

In the given circle with diameter AB, find the value of x in degree. ___

Ria decided to bake a cake. For this, she used 35 kg flour, 16 kg of butter, 13 kg of sugar, and 29 kg of milk. What will be the total weight of cake?

In a cricket match, a batsman hits a boundary 5 times every 30 balls he plays. Find the probability that he did not hit a boundary.

53 . Find value of x :- (5x)/6 - (x-4)/8 =9/4 - 1/2 ((x)/2 - (x-1)/3)

The ___ of a class interval is called its class mark.

In fig, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the shaded region.

An overhead water tanker is in the shape of cylinder has the capacity of 616 litres. The diameter of the tank is 5.6 m. find the height of the tank.

In the given figure, if chords AB and CD of the circle intersect each other at right angles, then x+y= (a) 45∘(b) 60∘(c) 75∘(d) 90∘

What is the proof of Pythagoras theorem

The points (other than origin) for which abscissa is equal to the ordinate will lie in the quadrant(a) I only(b) I or II(c) I or III(d) II or IV

If the polynomial x4−6x3+16x2−25x+10 is divided by another polynomial x2−2x+k, the remainder comes out to be x+a, find k and a.

Determine which of the following polynomials has (x + 1) a factor:(i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1(iii) x4 + 3x3 + 3x2 + x + 1 (iv)

Mark the correct alternative in the following question:Two complementary angles differ by 20°. The smaller angle is(a) 55° (b) 25° (c) 65° (d) 35°

Question 128Solve the following question:A 5.5 m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4 m. Find the distance between the wall and the foot of the ladder.

A circular park of radius 40 m is situated in a colony. Three boys Ankur, Amit and hands to talk to each other. Find the length of the string of each phone.

y3 − 2y2 − 29y − 42

In △ ABC, sin(A+B2)= .

The figure gives the lengths of a tree and its shadow (in feet). Using the information given in the figure, find the value of θ. (Hint : Use Tan θ)

If f(t)=4t2−3t+6 find (i) f(0), (ii) f(4), (iii) f(-5)

In the following figure, if ED = 10 cm, BG = 8 cm and BE = CD = 9 cm, then find the area of triangle CDF.

LSA of cube having side 3 cm is

In Fig. ABC is a right angled triangle in which ∠A=90∘, AB = 21 cm and AC = 28 cm. Semi - circles are described on AB, BC and AC as diameters. Find the area if the shaded region.

O is the circumcentre of the triangle ABC and OD is perpendicular on BC. Prove that ∠BOD = ∠A

Insert commas suitably and write the names according to Indian System of Numeration:87595762

if the line segment lx+my=n^2 intercepted bythe curve y^2=ax substends a right angle at the origin then___1'a,n,l arein gp 2'l,m,n are in gp 3' l,m,n^2 are in gp .choose correct optio

In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.